Translating, Solving and Graphing Inequalities

SOLVE: Four more than the quotient of a number and 3 is at most 9.

• n < 15

• n < 13÷3

• n > 15

• n < -1

Which inequality symbol represents the statement.
Exceeds

• >

• ≤

• ≥

• <

Why do we say "All Real Numbers" instead of "Infinite Solutions" for inequalities?

• All Real Numbers means any number works

• Even an answer such as x<6 has an infinite amount of solutions that would work

• When we get a true statement, such as 5 < 6, it will work for any and ALL numbers

Four times a number increased by  7 is at least 19. 

• 4x > 19

• 4x + 7 ≥ 19

• 4x < 19

• 4x + 7 ≤ 19

Which symbol means is greater than or equal to?

• >

• <

• ≥

• ≤

Which symbol means is less than or equal to?

• >

• <

• ≥

• ≤

x is less than or equal to 24

• x > 24

• x < 24

• x ≤ 24

• x ≥ 24

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

To order from the kids menu a person must be no more than 12 years old.

• x > 12

• x < 12

• x ≥ 12

• x  ≤ 12

The sum of a number and 5 is less than 10.

• x + 5 > 10

• x + 5 <10 

• x - 5 < 10 

• x - 5 > 10